If x and y are floating$-$point numbers, then the evaluation off $($x$,$ y$)=$ x x$2$ yin a floating point system may be very inaccurate due to cancellation. To illustrate, use baseb $=10,$ precision k $=4,$ idealized, chopping floating$-$point arithmetic below.$($a$)$ Let x $=123\mathrm{.}4=0\mathrm{.}1234\backslash$times $103$ and y $=1\mathrm{.}234=0\mathrm{.}1234\backslash$times $101,$ evaluate fl $($f $($x$,$ y$))$and determine the relative erro